Least Common Multiple (LCM) of 153 and 143
The least common multiple (LCM) of 153 and 143 is 21879.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 153 and 143?
First, calculate the GCD of 153 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 143 = 1 remainder 10 |
| 2 | 143 ÷ 10 = 14 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 114 | 21774 |
| 59 and 59 | 59 |
| 129 and 58 | 7482 |
| 180 and 92 | 4140 |
| 84 and 195 | 5460 |